This title appears in the Scientific Report :
2020
Please use the identifier:
http://hdl.handle.net/2128/26841 in citations.
Please use the identifier: http://dx.doi.org/10.4236/jam.2020.86083 in citations.
Please use the identifier: http://dx.doi.org/10.4236/jamp.2020.86083 in citations.
A Hybrid backward Euler Control Volume Method To Solve The Concentration-dependent Solid-State Diffusion Problem in Battery Modeling
A Hybrid backward Euler Control Volume Method To Solve The Concentration-dependent Solid-State Diffusion Problem in Battery Modeling
Several efficient analytical methods have been developed to solve the solid-state diffusion problem, for constant diffusion coefficient problems. However, these methods cannot be applied for concentration-dependent diffusion coefficient problems and numerical methods are used instead. Herein, grid-b...
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Personal Name(s): | Chayambuka, Kudakwashe |
---|---|
Mulder, Grietus / Danilov, Dmitri / Notten, Peter H. L. (Corresponding author) | |
Contributing Institute: |
Grundlagen der Elektrochemie; IEK-9 |
Published in: | Journal of applied mechanics and technical physics, 8 (2020) S. 1066-1080 |
Imprint: |
New York, NY [u.a.]
Springer
2020
|
DOI: |
10.4236/jam.2020.86083 |
DOI: |
10.4236/jamp.2020.86083 |
Document Type: |
Journal Article |
Research Program: |
Electrochemical Storage |
Link: |
OpenAccess |
Publikationsportal JuSER |
Please use the identifier: http://dx.doi.org/10.4236/jam.2020.86083 in citations.
Please use the identifier: http://dx.doi.org/10.4236/jamp.2020.86083 in citations.
Several efficient analytical methods have been developed to solve the solid-state diffusion problem, for constant diffusion coefficient problems. However, these methods cannot be applied for concentration-dependent diffusion coefficient problems and numerical methods are used instead. Herein, grid-based numerical methods derived from the control volume discretization are presented to resolve the characteristic nonlinear system of partial differential equations. A novel hybrid backward Euler control volume (HBECV) method is presented which requires only one iteration to reach an implicit solution. The HBECV results are shown to be stable and accurate for a moderate number of grid points. The computational speed and accuracy of the HBECV, justify its use in battery simulations, in which the solid-state diffusion coefficient is a strong function of the concentration. |